2410452480 has 160 divisors (see below), whose sum is σ = 8111980800. Its totient is φ = 608919552.

The previous prime is 2410452439. The next prime is 2410452497. The reversal of 2410452480 is 842540142.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137661 + ... + 154179.

It is an arithmetic number, because the mean of its divisors is an integer number (50699880).

Almost surely, 2^2410452480 is an apocalyptic number.

2410452480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055990400).

2410452480 is an abundant number, since it is smaller than the sum of its proper divisors (5701528320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2410452480 is a wasteful number, since it uses less digits than its factorization.

2410452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16564 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2410452480 is about 49096.3591318134. The cubic root of 2410452480 is about 1340.8067615284.

The spelling of 2410452480 in words is "two billion, four hundred ten million, four hundred fifty-two thousand, four hundred eighty".